Two-Step Weight Iterative Methods for Solving Nonlinear Equations

Authors

  • K. Gayathri  M.Phil., Research Scholar Department of Mathematics,Vivekanandha College for Women, Tiruchengode, Tamil Nadu, India
  • S. Kamala  M.Phil., Research Scholar Department of Mathematics,Vivekanandha College for Women, Tiruchengode, Tamil Nadu, India
  • R. A. Myvizhi  M.Phil., Research Scholar Department of Mathematics,Vivekanandha College for Women, Tiruchengode, Tamil Nadu, India
  • J. Ravi  Assistant Professor Department of Mathematics,Vivekanandha College for Women, Tiruchengode, Tamil Nadu, India
  • S. Dickson  Assistant Professor Department of Mathematics,Vivekanandha College for Women, Tiruchengode, Tamil Nadu, India

Keywords:

Nonlinear equation, Order of convergence, Taylor series expansion, asymptotic convergence.

Abstract

In this paper, a study on two-step weight iterative methods for solving nonlinear equations and also its cubic convergence. Nonlinear equation is the fundamentals inengineering, computer science and other many related fields. Many procedures have been developed during the past few decades. Yet there is need of procedures which is less time consuming in nature and more accurate when considering less iteration. We proposed a new method to give better result (minimum number of iterations) compared to other existing methods. Proposed method can be considered as a significant improvementof the Newton method and its variant forms.

References

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IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2018-02-28

Issue

Volume 3, Issue 1, January-February-2018

Section

Research Articles

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Copyright (c) IJSRCSEIT

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
K. Gayathri, S. Kamala, R. A. Myvizhi, J. Ravi, S. Dickson, " Two-Step Weight Iterative Methods for Solving Nonlinear Equations, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 3, Issue 1, pp.1402-1406, January-February-2018.